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Construct a DFA that accepts the language generated by the grammar S--> abS | A A--> baB B--> aA|bb Question: below is a graph for

Construct a DFA that accepts the language generated by the grammar

S--> abS | A

A--> baB

B--> aA|bb

Question: below is a graph for the NFA of the grammar. In the process of converting the NFA to a DFA, my question is, how can S, with transition of b, go to 2? Shouldnt it go to A2?. And 1 with transitoins of B, shouldnt it go to SA2, not SA? Will give thumbs up

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